where \(\phi \)  is the Higgs field (\(SU(2)\)  doublet), \(\bar{\alpha }\) , \(\bar{\gamma }\) , and \(\bar{\kappa }\)  are the dimensionless constants, and \(\bar{\beta }\)  has the mass dimension 2. This action resembles the simplest model of a ferromagnetic [1]} near the Curie point in the Landau theory of phase transitions. The constants \(\bar{\alpha }\)  and \(\bar{\beta }\)  are such that the potential possesses the minimum at \(g^2>0\) . It is natural to suppose that the characteristic magnitude of the vacuum expectation value of the field \(g_\mu \)  is of the order of the Planck scale. From the renormalization theory viewpoint, it is also appealing to suppose that \(\bar{\alpha } g^2=\mu ^2\) , where \(\mu ^2\)  is the parameter of the Higgs potential (see [2]} for the notation). In this case, the constant \(\bar{\beta }\)  can be put to zero and all the coupling constants of the model become dimensionless, apart from the Newton and the cosmological constants. In particular, we have the estimations for the constants determining the potential of the field \(g_\mu \) : \(\bar{\alpha }\approx \eta ^2/m_{Pl}^2\)  and \(\bar{\gamma }\approx \bar{\alpha }^2\) , where \(\eta \)  is the vacuum expectation value of the Higgs field. It should be noted that the dynamics of the field \(g_\mu \)  are determined not from the least action principle, but from the self-consistency requirement [2]} imposed on the effective action. The field \(g_\mu \)  is at the minimum of the effective potential only for the Minkowski spacetime (see [2]}). The exploration of the viability of the above model and its phenomenological consequences will be given elsewhere. Also note that the fields with higher spins can induce additional terms in (REF ). The spinor fields, for example, add the contribution proportional to \(h^2\)  to the terms standing in round brackets in (REF ).
